What's the best tool for creating a database of all pages mentioning my name that do not link to my startup's website?

TL;DR -> Yes you will risk it if you don't perform a proper audit and migration from the original platform. Any type of architecture changes can 100% ruin your SEO if you are not migrating content and topics correctly. Many people assume this is limited to URI structure but underestimate the power of Topical hierarchy and the content, internal linking and URI structure which play a crucial role into any migration effort. If you have any questions about the migration process, give me a shout. Decent free migration checklist: https://searchengineland.com/site-migration-seo-checklist-dont-lose-traffic-286880

The cost of SEO depends a great deal on three things: 1) The specific services being offered (SEO, social media, content strategy, etc.) 2) The degree in which those services will be implemented (how many hours per month) 3) the skill and experience level of the SEOs involved. $800/month is a pretty small investment if you consider all the layers to making a web marketing campaign successful. My company will usually not touch any fully-managed web marketing campaign for less than $1500/month and that's at the low end of the aggressiveness meter even for a pretty basic site. A larger ecommerce site might start around $5K and go up from there. Overall, you want to look for value and results. You'll want to know how long the SEO has been in business and when looking at proposals you need to understand the amount of time the company will be investing in the campaign. You also want to spell out your goals and establish the expectations on how/when those goals will be achieved. When the SEO and client don't have the same expectations, that can lead to issues later on. But if you know what the goals are you can both be on the same page from the start.

Obviously, no 2 situations are alike; and multiple factors affect any outcome. Practically, the number of answers is infinite. But one factor I've looked at intensively, full time for years is the role played by the brand name and/or the site's domain(s). Think of doing business -- online or off -- as moving along a path. Some paths are rocky or go through quicksand. Others can be made straight and smooth. Obstacles can be cleared, or the surface may be lubricated. For most niches, you'll see brand names / domains that add friction -- friction that is compensated for by extra marketing inputs ... effort or money. Suppose your niche were nicotine patches. Well, ideally you might own NicotinePatch(es).com to simplify brand recognition, add trust, increase click-through rates, and so forth. Traffic can be built up without an exact-match domain. No doubt about that. Still, not all domains / names perform equally well online or in the minds' of an audience. Answers aren't always so clear cut. However, since the internet is built on domain names, domains and names are worth evaluating very deliberately.

Typically just moving from one server to the next has no issues at all so long as you're not making any other changes to the site, such as changing URLs in a re-design process. Just make sure its a quality, respected server. If the server has issues then, yeah, you'll inherit them. But otherwise you'll be fine.

The best way to work around something like this is to map out the long-term strategy in phases. Build out a brief project map that outlines what they will receive within the 1-3 month period, the 4-7 month and the 8-12 month period. Set micro objectives for each period and this will give the client a bit more confidence in the short-term plans as well as the long. The key thing to remember here is that the client will often be worried about being tied into a contract that doesn't deliver results. As a result, you need to show why you need the time that you do. One thing that I often throw in is an extra incentive for longer contract lengths - for example, an extra PR/content campaign or some paid advertising extras. Try to assure them of some shorter term results that you can obtain as 'quick wins' and build their confidence this way - the major targets will always be longer term but if you can demonstrate that there will be progress between then they will be a lot more receptive.