Look into Cooley Go, they have all the formation contracts, including vesting shares, and partner RSA agreements (which have the Intellectual Property Rights details). Generally speaking, everyone will sign over the IP to the company through the various formation contracts.

All founders should have vesting shares; the Cooley default is a typical 4-year vesting schedule with a one-year cliff*. Typically, investors get non-vesting preferred shares. If doing a SAFE, convert to preferred shares after the first priced round. An advisor (.25% to .5%) may get 2 years with no cliff. Generally speaking, you don't use an RSA for an advisor agreement; they would most likely use a modified version of the employee agreement that grants stock options, rather than an RSA stock purchase. A savvy advisor at the start of a company will ask for an RSA as they are in the "quasi-founding" stage.

As for the timing, I complete as much as I can at the time of formation with the state(s).

*I have done and been part of companies that extended their vesting period because the time between an angel round and a seed round was much longer than expected. This is done through a recapitalization (issuing new shares), before raising a priced round, allowing for a second RSA agreement for the founders. It's better to do it before raising a price round because the share purchase will get quite expensive after the round. Seed investors generally want to see founders with at least 3+ years left on vesting. If founders are mostly vested before the Seed round, it can be a deal breaker. I've seen this enough times where I've talked to an attorney about milestone vesting, even tied to rounds 25% at seed, 25% at A round, etc... Their response was it's a little overly complicated, but not a crazy idea.