Ellen,
The first thing I would consider is that screen size. How comfortable are you with the screen size of the laptop you are currently using. That is something that many people do not think about until after they are already using the laptop and since that is the part you interact with on everything you do you should think of that first.
Then do you need a numeric keypad. If you are constantly entering a bunch of numeric data, a numeric keypad is important. If you are mainly entering text, as you would be with a Blog, a numeric keypad may not be that important. A numeric keypad will also impact your screen size as the laptops with the numeric keypads tend to have larger screens.
Another consideration is weight and physical size. Since your work does not want you to use their laptop for personal use and if you travel a lot you will probably need to carry both. Can you fit both laptops in a single case? With the way airlines are today, especially when it comes to carry on baggage if you are going to carry them both with you, you will want them to fit in a standard carry on case. You can cut down on weight if you get a laptop by the same manufacturer by using just one power supply for both. I was doing that for many years, but you will need to make certain that the laptops are by the same manufacturer if you want to do that as most manufacturers have a proprietary connection to the laptop from the power supply.
Now the laptop itself. Since you are doing blogging the technical requirements will not need to be that high. Since the majority of your work will be simple data entry. This is what I would shoot for.
Operating System - Windows 10 (Windows 7 would be a better OS but most manufacturers do not offer that anymore and the support for Windows 7 will end in about 18 months.) Do not get a Windows 8.0 or 8.1 there are too many issues with that OS. Windows 10 is actually a pretty good system, I have it on a couple of my Desktops and a laptop.
Processor. i5 or i7 are very good processors. i7 is a little more expensive and may be overkill for what you plan to do but it is a little faster for processing your internal requests. If you can afford it the i7 is the better processor, but an i5 will work almost as well.
Memory - the least expensive way to increase your laptop or any computers performance is adding more memory. The more internal RAM (Random Access Memory) the better. For what you are doing 4 GB will be fine, but again if you can afford more get it, it is the least expensive way to increase performance.
Hard Drive - You will want a minimum of 500GB. This is where all your stuff is stored on the computer. If you are mainly doing Blog related activities 500GB will be fine. If you can afford more get it. This is all storage space and if you plan to keep it awhile it will eventually fill up. On a Side Note: Once you get the laptop look at partitioning the hard drive, one partition for applications and the other for Data. I usually do a 30% / 70% split. 30% for applications and 70% for data. This has many advantages for performance and backups. By keeping your applications and data in separate partitions it makes it much easier and faster to restore if you need too, and much more importantly, you can backup the data frequently to an external drive. This protects your data and makes it easy to move to another system if you need too. Your data is the most important thing on that computer.
Must Haves:
Internal wireless connection.
LAN Connection (wired) This is especially good if you go with the satellite connection. You will get an increase in speed and stability from home if you can plug the system in to a fixed network cable. When you are on satellite look for any way you can to stabilize your speed of the connection.
A couple of USB Connections (USB 3) you can confirm this by looking at the connection. It will have an internal separator that is blue if it is USB 3 compatible.
Recovery Software (make certain that you have the software to recover the computer in the event of a system crash) This is a laptop it happens.
Good Anti-Virus software (I recommend PC-Matic, it is excellent and I run it on all the mys system. It has a lot of other features other than virus, spam and mal-ware protection)
Nice To Haves: (Not Required just nice to have)
Internal CD Rom drive (these are not common anymore but they are nice to have for software installation and videos especially if you travel)
External monitor port - Nice when you are at home for a bigger display.
Built in speakers.
Manufacturers:
I would stay with the name brands. I have had many laptops and most of them worked very well as long as you took care of them. ASUS is good.
HP is good. (But tend to use proprietary connections internally, not a problem as long as you do not plan to upgrade it) - can be a little pricey - your paying for the name.
Dell - good. - can be a little pricey.
Samsung - based on the reputation of the company they should be good, but I have not owned one.
One thing to keep in mind. Most CPU's and Motherboards are made by just two companies. All the manufacturers are using those chips and boards in their products. That is where the majority of the cost of the laptop lies in those parts. So paying more is not always a sign that you are getting a better laptop.
I would stick with Intel CPU's as they are much more prominent in the market. AMD CPU's are good but Intel just has a bigger and more tested market share. But honestly for what you will be doing the CPU manufacturer should not really matter. You see more comparability issues with CPUs in the gaming arena.
I hope this helps. let me know if you have any specific questions that I can help you with.