Hi there,
I would love to help you with cleaning up your website and updating all the plugins / wordpress / theme core files. However, something that should be shared , while 97 % of the time updating the plugins / theme works fine , but occasionally some functionality or design breaks , that means the new version is not compatible with the website , that at times could be resolved quickly or could take days. So I just want to make sure you are aware of this. If the updation process is not complicated , I'll update all the plugins , but 1-2 might cause issue just in case. So you should be aware of that. Plus I'd need admin and ftp logins both to work on this.
Looking forward to helping you with this job.
Thanks,
Syed