Looks like a pretty cool service, and thank you very much for all of the valuable info. Can I just send you a dump of all my used BTC addresses, can you scan for forked tokens, tell me which addresses have said tokens, and I send over the priv keys? I'd happily give you 5-10% of the value for your service.
(we've discussed this in PM)
General answer: Depending on how many different addresses you have, this can be quite a lot of work. Doing this manually means having to look up the balance for each address at the moment of each fork. For addresses with many transactions it's even more work to find back historic balances on a block explorer.
I don't mind looking into the occasional Bitcoin address, but if it's a long list of addresses with low balance, you'll have to do this on your own.
That list hasn't been updated in a month. I checked some of the websites, and they do offer wallets, but I haven't tested them yet.
I think I have many addresses that have claimable fork coins, but it does seem like a lot of work and I am terrible at tracking down change addresses. I use Core, which seems to generate many many change addresses and so I'm wondering if you would be willing to help me dig through my wallets to discover what stash is lying in wait.
I can help you get started

I am positive I have a few addresses that were around for the BCH fork, which also seems to be the most profitable fork from what I can tell. Is there any easy way to keep track of Core's Change addresses or to easily take a snapshot of a particular date in time for your wallets for quick checking?
As far as I know, there is no easy way to take such a snapshot in Bitcoin Core. It can export all addresses you ever used: type
listaddressgroupings in Console for the list.
While I'm interested in the service, I do not want to waste either of our time and would like to do what I can to figure out where I'm at without completely doing everything for myself, since it sounds dreadful.
An easy way to get an estimate is if you can remember your approximate balance on August 1, 2017 (the fork date for Bitcoin Cash) and other major fork dates that happened after this. Each Bitcoin you had is worth around $1500 in Bitcoin Cash, plus more in other forks. This should quickly tell you whether or not it's worth the effort.
Their main chain isn't launched yet.