A few years back when I looked into it, the favourites for online banking seemed to be Monabanq and Hellobank, but I imagine the offers have changed since then. But in the end I didn’t apply to any of them because after talking to Crédit Agricole who I use for personal banking, I decided to open a second account with them. The reasons for my decision were: 1. I prefer dealing face to face whenever possible, 2. I do sometimes have cheques to deposit which is easier to do at a local bank, and 3. My activity is fairly “traditional” so I try to project a serious image to my clients, and I kinda felt that an account with Crédit Agricole might carry more gravitas. And 4, it costs literally a few cents per month no strings attached, so maybe winds up even cheaper than an online account that is potentially “free” but in practice is only free if you continue to meet certain conditions.
Why does the bank have to know that you intend to use this account for your micro entrepreneur transactions, did they ask? If not, don’t tell them. A normal bank account in your own name is all you want, you don’t need an all singing, all dancing, hugely expensive business account with loads of facilities that as a micro entrepreneur you will never use.