Wedding elopement in london/ historical sight

As long as you are happy with doing it this way then go for it, is different and awesome to include your kids. I would only say just thing hard about how you may feel afterwards and if you think you may be missing out. you could always have a party at a community hall later to celebrate with family and friends, hire a DJ and self cater ( an sure friends will help) and it will keep the cost down but still give you a wedding with your loved ones.