You are probably better served going LPN-ADN RN route. There are programs there that let you use your LVN/LPN experience to 'transition' into those programs.
Then, set your sights on ADN-BSN transition.
You are probably better served, in time and the ability to 'work through', by using the transition programs that exist for both jumps.
In a BSN program, you will have to start new, and it will take you 4 yrs.
By making both transition 'jumps', you can get a BSN in the same amount of time, AND work your way through. And, for half that time, you'll already be earning an RN salary working your way through.
And, that also serves to give you more time in and more experience to decide if an ultimate BSN best serves you WHILE working as an RN.
Check out the transition programs from LVN/LPN to RN in your area. Find out the pre-reqs, and start working on them. But, keep the BSN programs in mind as a further educational 'jump' once you get your RN. There IS an advantage to BSN.
But, for you, there is likely NOT an advantage to go the straight BSN route when transition programs would get you there in the same time AND allow your previous healthcare experience to aid your educational pathways.