Hopefully you are storing the bike in your garage and not outside...most tenders come with two different connectors
1) Has alligator clips to attach to the posts - best used it the battery is outside the bike
2) Has ring connectors which attach directly to the posts on the bike - best to put them under the battery cable terminals. The second option allows you to leave the battery on the bike and if you get a good day to ride just unplug it and ride.
these do range in prices high to low you just need to decide which one suits your particular need.
*Should you be storing the bike outside under a cover I would recommend that you take the battery out -
if storing in a garage make sure that you don't have any rodents (mice, rats, etc.) they can play havoc on wiring and like to make nests under the seat or up the exhaust.
Also if you can find some rubber mats to put under the tires would help, if not then you should try to move the bike once or twice a month and check the air pressure. If you put the bike on a lift make sure the kickstand is down in case the lift bleeds off.....spraying a light coat of WD-40 on it wouldn't hurt either.
Sorry didn't mean to go overboard to answer your question but it might help someone else also.