One certainty in the brokerage world is that registered representatives often switch from one member firm to another. There is nothing wrong with the switch, but there is a word of caution to be shared.
Before you leave, make sure you only have in your possession, if anything, only those things that the firm you are leaving lets you keep. If you take something you are not allowed to have, you can rest assured that your former employer will come looking for you.
Similarly, you should determine whether the old or new firms are members of the broker-dealer protocol. If so, you should check the protocol for what you are allowed to take and what notice you have to give to your former employer about the information you are taking with you.
If one or neither firm is a member of the protocol, it still makes sense to follow the protocol. By doing so, you can demonstrate, if ever challenged, that you tried to do the right by following an objective standard that many in the industry have accepted.
Another thing you should verify is whether you are under contract with your old firm to delay your formal commencement with the new firm; otherwise known as a garden leave policy. If so, you had better follow it. If you opt not to follow it, you should expect a disgruntled former employer coming after you.
So change firms if you like. Just be certain you know what you are doing before you do it. A couple missteps here and there could get you in front of FINRA on an enforcement case.