Children find great security in their parents' strong marriage. Putting your highest priority on your marriage benefits your children too! You have many valuable roles. I can understand putting children first, ahead of spouse and other adults, when the child has a
need, such as when an infant needs to be cared for or a child is sick or truly needs time with each parent. However, it's all too common for women in particular to let too many years go by, immersed in the daily thoughts, efforts and
valuable identity as "mommy" and to lose sight of her
valuable identity as "lover-wife" with eyes only for her husband. Marriages that are not tended and guarded, tend to disintegrate.
That said, I think the ages of your children is an important factor too. If you still have very young children (preschool), separation anxiety can sometimes be a pretty big deal for both mom and children. (Until ~age 4, it definitely was with one of my three.) We always vacationed with our children until they were nearly grown and we had timeshare condos to allow for privacy for us. When traveling with another family, and all the children were school-aged, parents traded off to give each couple an evening out on vacation too. I can see great value in taking along a sitter!!!
Still, if any of your children are quite young, I'd opt for a
shorter getaway (a night or a weekend?) for the two of you, somewhere very romantic and close to home.

Maybe a lovely B&B? Or an historic Inn? Or a luxury highrise in a nearby city? There'll be plenty of time for the
longer romantic trips later, IMO.
But if your children are all school-aged and especially if they're used to a relative or sitter overnight sometimes already, a longer time without mom and dad would probably work out much better than you fear. If they haven't spent a night apart from you, you could do a test run for a weekend, locally.

See how that goes....