>All tomatoes will self-pollinate if conditions are right. <
JT, I'm not quite sure what you mean by this. Tomatoes have perfect flowers and are in-bred. All of them are self-pollinating no matter what the conditions. If the plants will set flowers then they will self-pollinate.
Most standard tomatoes, in fact, do not outbreed at all because they have unextruded stiles. As a result, the pollen isn't readily available to pollinators.
Current types, potato leaf varieties, and, maybe, double-blossomed beefsteaks readily cross because they have extruded stiles, and pollinators do find tomato flowers attractive. But if you cage these they will still self-pollinate.
>get the seeds out spread them to dry, and store in a paper baggy in a dry place<
Mainaman, while this can work, the recommended method is to ferment the seed. There are several reasons for this.
1. Unfermented seed has a tendency to stick to itself, and can be cumbersome to work with.
2. The gel mass surrounding the seeds contains, among other things, an anti-germination compound. This makes sense, because the moist interior of a tomato would otherwise be the perfect nursary for seeds. But there's very little incidence of in-situ germination because of those compounds. Fermentation, among other things, removes those compounds---along with non-viable seeds and all the other crud fond in the seed mass.
3. Productivity of unfermented seed goes down, for the above reason. Every leave a tomato behind in the garden? Look at how few volunteers you get, compared to the number of seed in that 'mater. On the other hand, properly harvested and fermented seed should yield at least 92% germination.
4. Fermentation destroys most seed-borne pathogens. All of the surface pathogens are destroyed (which, in tomatoes, is most of them), and many of the systemic pathogens are killed as well.
All in all, fermentation is an extra step well worth taking. It doesn't take long; isn't difficult; and results in a better seed crop overall.