While you are at it, you might want to pony up and get yourself a new tranny pan that has a drain plug/bolt in it. Makes it a whole lot easier to drain and then remove. But as Rusty explained, that is the other way of doing it without a drain plug. Me I like the ease of it. Yesterday, I was servicing my 727 and it made the job a lot more cleaner. I was adjusting my forward and reverse bands and trying to get my speedo to work properly. That's another topic for discussion.
Filters are available either through any tranny shop, or after market parts store. Also...I prefer the NAPA pan gasket, part #ATP 1-4430 for the re-install. It is rubber verses the Cork material brands and for me seems to seal better. Again that is just my preference. Also give a look-see at the valve body for any metal shavings in the area as well as in the pan. It has been know to appear during the filter change and the filter if working properly will have absorbed any dirt and metal particles. If it is or seems to be a lot, then button it back up, top the fluid off, and head to your tranny shop of choice. It is most likely time for a tranny re-build and inspection. It is and can be a messy job, but not that difficult at all. Hopefully you have and are using a Factory Service Manual to assist. If not there is a ton of U-Tube Videos that will help walk you through it. Good Luck and if you need any more input and help, you know the FBBO Brethren are here to help....cr8crshr/Tuck