We introduce and implement two novel ideas for modeling lensed quasars. The first is to require different lenses to agree about H0. This means that some models for one lens can be ruled out by data on a different lens. We explain using two worked examples. One example models 1115+080 and 1608+656 (time-delay quadruple systems) and 1933+503 (a prospective time-delay system) all together, yielding time-delay predictions for the third lens and a 90% confidence estimate of H0-1=14.6+9.4-1.7 Gyr (H0=67+9-26 km s-1 Mpc-1) assuming ΩM=0.3 and ΩΛ=0.7. The other example models the time-delay doubles 1520+530, 1600+434, 1830-211, and 2149-275, which gives H0-1=14.5+3.3-1.5 Gyr (H0=67+8-13 km s-1 Mpc-1). Our second idea is to write the modeling software as a highly interactive Java applet, which can be used both for coarse-grained results inside a browser and for fine-grained results on a workstation. Several obstacles come up in trying to implement a numerically intensive method thus, but we overcome them.