The beneficial bacteria grows in your filter media, so you definitely do not want to remove your filter. The heat helps the bacteria get established; many people raise their tank temperature to the low 80s while cycling, and then drop it to a temperature more suitable for the fish that will be in the cycled tank.
I've cycled three tanks and am currently cycling a fourth. For two of them (my 10 and 5.5 gallon tanks), I used a combination of a bacteria booster (Seacheam Stability
) and bloodworms (on days 3 and 6). For the other two (45 and 25 gallons), I did/am doing the pure ammonia fishless cycle.
The smaller tanks cycled in 12 and 14 days; the 45 gallon cycled in 2.5 weeks. The 25 gallon is on track to cycle in 2 weeks.
One complaint people have with using fish food to cycle is that it dirties the water, but that was not my experience. Using pure ammonia is more precise because you can calculate how much to add to your size tank to bring the ammonia level up to 2-4 ppm.