Hassan just like RDO stated OP was asking about comparison. There is a specific forum "looking to hire" where the OP can request for services if that's what they are looking for.
Also, for such post as the one in this threat we can assist the OP by referring them to the offers section for them to research and contact who they want. There are a few good hosts to contact and choose in this forum.
-----
Back on topic as
@RDO Servers @ElixantTechnology mentioned to the OP, very cheap VPS can give less performance than shared hosting.
The benefits of the VPS is really having full control on the OS, software, disk space, b/w and specific settings that you might want that shared hosting might not offer.
Can they be more powerful? Definitely but you will need to pay more than what you usually pay for shared hosting, specially if you need a full managed solution. If your shared hosting is currently handling your site without any issues I wouldn't worry to much about it, however if your web site is rapidly growing it is very good for you to do the research your are doing now to be able to act if you outgrow it.