If you're only starting out, I'd say get everything else in place first, especially if you have somewhere you can ferment which has a relatively constant temperature.
Get to know your equiment and your process. Once you're confident in your process, then move on to other things, rather than having lots of new things to deal with all at once.
Your first beer is a delight even if it a small swing in fermentation temperature means it could be better. And let's face it, you have beer to drink while putting your fridge together.