In all honestly - it won't feel that different from your current bass. Especially those close backed tuners don't inspire much confidence. Not many modern basses use them as they tend to be cheap. Also managed to find the advert for that bass on Reverb and it's listed as having a rosewood board.....I'd avoid it.
If you want a better P-Bass and are happy with spending £350, try and get a Squier Classic Vibe or go for Sire P5. Not sure where you're based, but I always recommend trying to go somewhere and try and few different things, might be surprised by what you like versus what you started learning on!