For sure take a look at what Offshore as to offer.
Really it all depends on how much you are going to get into. For doing what you are talking about you need little. If you ever think you are going to get into working on movements, then you need to spend the money on good tools.
Screwdrivers - What Offshore has will work for what you need. The biggest issue with screwdriver sets out there for cheap is the blades are as soft as creamcheese. You should only needs flat blades.
Tweezers - #2 is all you need. Anything above this, is too fine and has special purpose like working on hair springs or very small parts. Most work is done with #1/#2.
Hand Remover - Presto removers work great for most 3-Hand watches. They can be very difficult to use with the samller chrono hands especially if the hand is pressed to close to the dial. You will need a set of hand levers or small screwdrivers.
What ever the tools you get, doing your first movement swap on a watch you enjoy and don't went to ruin, would not my recommendation. You really need to know what you are doing, and it is very easy to do a lot of damage.
Best of luck!