hiya Morris, you'll no doubt be surprised (
) that I'd advise not to do it at home. Bleaching takes hair's red pigments out so a brown box dye over that will come out green, and a one colour box dye won't give you that Jen An multi tonal caramel, it'll be just a block of colour then regrowth. Plus, the peroxide in box dye is 40 vol, whereas in salons we mostly use 20, so it will be super harsh on your already damaged hair.
What is your natural colour? I'd be thinking of how to achieve your long term aims for a softer look and a lower maintenance blonde/"bronde". you could grow it out for a couple of months (ow I know) and have some low lights and highlights put in to break up the regrowth and create dimension at the back and lightness round your face, then tone over the top of that to blend it all together to get that honey/caramel look. Then going forward from there, you could look at maintaining with balayage. That honey bronde look is all about the multi tonality and the contrast between dark and light, so you deffo want a professional doing it.
I'd find some images of the sort of thing you want, then have some consultations at different places and be honest about how much time/money you want to spend on upkeep, they won't mind - I love a low maintenance client then they'll be able to come up with a plan that works for you. in summary, a good colour consultation should cover:
what you want short term
what you want long term
budget
time restrictions
your lifestyle (eg do you swim/gym a lot, do you wash your hair a lot, do you have to cover it for work, does it get sweaty in a bike helmet every day)
any grey coverage and how that fits in to the overall plan
aftercare and how your hair will look growing out between appointments (ie the majority of the time - I like my clients to like their hair as much 4 weeks after an appointment as they do on the day it's done, I'm not into the idea of someone waking up the majority of mornings and feeling like eww my roots, roots are a fact of life so I like to factor them into my plans)
eg, I have a client who has that sort of Jennifer Aniston vibe, and she has her roots done with permanent colour every six to eight weeks, then once in a while we put foils with low vol bleach to gently lighten bits and tone through. she looks like her hair's that expensive Melania sort of hair, but it's not all that much faff really. Other clients get the same vibe from just having balayage 2 or 3 times a year, but it all depends on what your hair is like naturally.