What type of filter and filter media do you have on your coldwater tank? Hopefully you can talk with the members here about how to pull 1/3 or less of one of the types of media from your coldwater filter and seed the filter on your new tank with it. If the seed takes successfully, and that's not guaranteed, you could lower the time the fishless cycle might take.
I think you are making a very good choice to plan to go with fishless cycling your new filter. Fishless cycling and Fish-In cycling are often presented as two equal paths leading to a cycled filter and requiring nothing but a choice at the beginning. The reality is nothing like that. Very experienced aquarists, especially those with plenty of patience and particularly, for instance, those working on starting up lots of plants in a tank, can often put a very small number of fish in and then monitor the stats for a long time, often performing water changes or having extremely well-planted tanks.
In contrast, fish-in cycling for beginners is rarely this controlled. Instead, fish end up getting permanent damage to their gills (from ammonia) or to there nervous system (from hemoglobin damaged by nitrite) and the innocent newcomer to the hobby ends up wondering if all tropical fish are as prone to disease and death as the ones they are trying to start with. Either that or the beginner finds information on a forum like this and ends up performing exhausting water changes that most end up saying they would never do again if they could possibly help it.
The fishless cycle is no piece of cake either. It requires every bit as much patience but at least without the laborious water changing. It requires testing and plenty of dialog with the members here, as its a bit of an art and all the ins and outs are not easily prescribed. One good thing about a fishless cycle though is that it gives you time to get used to the operation of your tank prior to fish and gives you a period to work on the long, drawn out process of figuring out your stocking. Normally we generally say fishless takes about 3 weeks to 2 months, but with mature media seeding, that time can sometimes go down drastically. Regardless, its very hard to predict the time and you are better off simply using the time to learn and interact as much as possible about both the tank water chemistry and about your future stocking.
~~waterdrop~~