I *always* tell older people looking to switch into tech to start at agencies/contracting firms for this reason.
They are much more likely to hire people without experience, invest in your training (even if it's training by fire), and because they are usually heavy cert-driven, they'll pay for certs as well.
It doesn't pay well, and the work can be brutal (nights and weekends; on-call) but it's a great way to get the experience needed to get the job that does if you're starting from zero.