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A 50 watt heater is good for 10 gals. I would get the submersible kind. I like the Hydor myself, but others will have recommendations too.
On my 10 gallon, I have a Penguin Bio wheel filter, made for up to 20 gallons. For a betta you will have to modify the outflow, as the current will be too strong for a long-finned male and he'll be tossed around. I fixed this by putting a piece of filter sponge over the outflow and securing it with an elastic band. You'll have to experiment a bit to get the flow just right.
I have 25 watts of light on my tank, and use 2 compact flourescent bulbs. This is good for growing plants and the snails will take care of the algae.
You didn't ask, but for a betta you'll need to get frozen bloodworms and you can also feed good quality pellets like Hikari BioBetta gold.