It's really your choice, I'm not gonna tell you whether you should tell them or not but I will give some advice IF (and only if) you decide to tell them.
If you tell them do not,
I repeat do not, make a big deal out of it. What I mean is, don't go up to them and be like "I have something to tell you" and then have like a long speech and sheepishly go "I'm... I'm a furry!" because this reaction is negative in a lot of ways. It's a little cringey which will potentially devalue things, it makes it seem like furry is a HUGE deal to to you (and maybe it is! But you probably don't want your friends who don't like furries to see that), it will also make them immediately think being a furry is some shameful thing you're ashamed of (and in their eyes you should be ashamed of) and it just makes the whole situation uncomfortable. Don't get me wrong sometimes that approach can work, but in your case if they already don't like furries, it probably will cause you to lose friends.
So, if you do want to tell them, ease into it. Don't go straight into wearing collars, fursuits and the like in front of your friends. Just talk casually like its no big deal, don't go on about it all the time but just be like "Oh yeah, that story reminds me of this one guy, he's a furry but like he's pretty cool, anyway he did X", and then just slowly ease into it. You have to be gradual, first they learn you're a friend of a furry, eh that's probably ok, they might make a bit of fun of you but if you can shake off that teasing and be able to laugh at yourself they'll respect it and start to respect you. Then they find out a lot of your friends are furries, they might start accusing you of being a furry, shrug it off, don't directly answer the question and just take it as friendly banter. Then one day you'll just start saying you're a furry, it won't be a big deal, it'll just happen and they'll be like "Well you're obviously a furry" and you can be like "Just cause I own a fursuit and go to furry conventions doesn't mean I'm a furry
". Point is have a sense of humour about it, show (to them at least) it isn't a big deal and you're not making it a big deal. They'll respect you, in my experience this absolutely works.